Question

(a) Draw a normal curve wth the parameters labelod. Choose the correct graph below. A. B. C. D.

(b) Shade the region that represents the proportion of full-term babies who weigh more than 4550 grams. Choose the correct graph beiow A. B. C. D.
(c) Suppose the area under the normal curve to the night of X=4550 is 0.0228 . Provide an intorpeotabion of this result Seloct the correct choice below and fil in the answer ber to complete your choice. (Type a whole number)
A. The probabilay is 0.0228 that the birth weioht of a randoenly chosen full-term baby in this population is less than grams.
B. The probablity is 0.0228 that the birth weight of a randomly chosen ful-term baby in this population is more than grams

Answer 1

(a) To draw a normal curve with the given parameters, use the graph labeled A. (b) Shade the region to the right of the z-score corresponding to 4550 grams. Use the graph labeled B. (c) The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4550 grams.

Step-by-step explanation:

(a) To draw a normal curve with the given parameters, we need to plot the values of the mean and standard deviation on the graph. The mean, μ, is 10.2 kg and the standard deviation, σ, is 0.8 kg. The normal curve is symmetric and bell-shaped. It is centered at the mean and the spread is determined by the standard deviation. You can use the graph labeled A.

(b) To shade the region representing the proportion of full-term babies who weigh more than 4550 grams, we need to find the z-score corresponding to 4550 grams and shade the area to the right of that z-score. Use the graph labeled B.

(c) The area under the normal curve to the right of X=4550 is 0.0228. This means that the probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than 4550 grams. Select choice B.